Solution of the Plateau problem for m-dimensional surfaces of varying topological type

1960/01/01 by E. R. Reifenberg · 33 citations
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic and Geometric Analysis #Mathematics and Applications

paper · pdf · doi:10.1007/bf02547186

Cited by

• A generalization of Reifenberg's theorem in RN for flat cones
• Energy improvement for energy minimizing functions in the complement of generalized Reifenberg-flat sets
• Boundary regularity for quasilinear elliptic equations with general Dirichlet boundary data
• Geometry of the Atomic Condition
• A Reifenberg type characterization for m-dimensional\n C¹-submanifolds of mathbb Rⁿ
• New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data
• Reifenberg Flatness and Oscillation of the Unit Normal Vector
• Minkowski and packing Dimension comparisons for sets with Reifenberg\n properties
• Weighted Global Regularity Estimates for Elliptic Problems with Robin Boundary Conditions in Lipschitz Domains
• Rectifiability; a survey
• Solutions to the Reifenberg Plateau problem with cohomological spanning conditions
• Higher dimensional Jordan curves
• Global estimates for quasilinear parabolic equations on Reifenberg flat\n domains and its applications to Riccati type parabolic equations with\n distributional data
• Dirac and Plateau Billiards in Domains with Corners
• Spanning via Cech Cohomology
• Interior and boundary W^1,q-estimates for quasi-linear elliptic equations of Schrödinger type
• Regularity of free boundaries in anisotropic capillarity problems and\n the validity of Young's law
• Soap Film Solutions to Plateau's Problem
• Global Marcinkiewicz estimates for nonlinear parabolic equations with nonsmooth coefficients
• Effective Reifenberg theorems in Hilbert and Banach spaces
• Pointwise gradient estimates for a class of singular quasilinear\n equation with measure data
• L² Curvature Bounds on Manifolds with Bounded Ricci Curvature
• An end-point global gradient weighted estimate for quasilinear equations\n in non-smooth domains
• A classification of Reifenberg properties
• Up-to-boundary pointwise gradient estimates for very singular quasilinear elliptic equations with mixed data
• A d-dimensional Analyst's Travelling Salesman Theorem for general sets in ℝⁿ
• New Volume Comparison results and Applications to degeneration of Riemannian metrics
• Ricci curvature and convergence of Lipschitz functions
• Precise Morrey regularity of the weak solutions to a kind of quasilinear systems with discontinuous data
• New monotonicity formulas for Ricci curvature and applications; I
• Condensation of polyhedric structures onto soap films
• Boundary Hölder Regularity for Elliptic Equations
• Solution of the Kirchhoff-Plateau Problem. [europepmc]